Search a number
-
+
1100150520 = 233573973299
BaseRepresentation
bin100000110010010…
…1111011011111000
32211200010102210120
41001210233123320
54223114304040
6301100013240
736156060630
oct10144573370
92750112716
101100150520
11515008407
12268531220
13146c04351
14a617b6c0
15668b57d0
hex4192f6f8

1100150520 has 128 divisors (see below), whose sum is σ = 3782592000. Its totient is φ = 250753536.

The previous prime is 1100150509. The next prime is 1100150531. The reversal of 1100150520 is 250510011.

1100150520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1100150509) and next prime (1100150531).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1100150520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331831 + ... + 335129.

It is an arithmetic number, because the mean of its divisors is an integer number (29551500).

Almost surely, 21100150520 is an apocalyptic number.

1100150520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100150520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891296000).

1100150520 is an abundant number, since it is smaller than the sum of its proper divisors (2682441480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100150520 is a wasteful number, since it uses less digits than its factorization.

1100150520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 1100150520 is about 33168.5170003122. The cubic root of 1100150520 is about 1032.3271977947.

Adding to 1100150520 its reverse (250510011), we get a palindrome (1350660531).

The spelling of 1100150520 in words is "one billion, one hundred million, one hundred fifty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 397 420 794 840 1191 1588 1985 2382 2779 3176 3299 3970 4764 5558 5955 6598 7940 8337 9528 9897 11116 11910 13196 13895 15880 16495 16674 19794 22232 23093 23820 26392 27790 32990 33348 39588 41685 46186 47640 49485 55580 65980 66696 69279 79176 83370 92372 98970 111160 115465 131960 138558 166740 184744 197940 230930 277116 333480 346395 395880 461860 554232 692790 923720 1309703 1385580 2619406 2771160 3929109 5238812 6548515 7858218 9167921 10477624 13097030 15716436 18335842 19645545 26194060 27503763 31432872 36671684 39291090 45839605 52388120 55007526 73343368 78582180 91679210 110015052 137518815 157164360 183358420 220030104 275037630 366716840 550075260 1100150520